Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions

Details Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions Semiclassical Energy Levels of Sine-Gordon Model on a Strip with Dirichlet Boundary Conditions

2004-06-28

arxiv.org/abs/hep-th/0406246v1

Nucl.Phys. B705 (2005) 548-562

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 7 figures

Scientific paper

10.1016/j.nuclphysb.2004.10.061

We derive analytic expressions of the semiclassical energy levels of Sine-Gordon model in a strip geometry with Dirichlet boundary condition at both edges. They are obtained by initially selecting the classical backgrounds relative to the vacuum or to the kink sectors, and then solving the Schodinger equations (of Lame' type) associated to the stability condition. Explicit formulas are presented for the classical solutions of both the vacuum and kink states and for the energy levels at arbitrary values of the size of the system. Their ultraviolet and infrared limits are also discussed.

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